Pith. sign in
Pith Number

pith:TR66PDN3

pith:2020:TR66PDN3PS3S57M7FBVS5JPWNF
not attested not anchored not stored refs pending

Geodesics of Hayward black hole surrounded by quintessence

I. Cabrera-Munguia, L. A. L\'opez, Omar Pedraza, R. Arceo

arxiv:2008.00061 v3 · 2020-07-31 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TR66PDN3PS3S57M7FBVS5JPWNF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-07-05T02:21:35.008862Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9c7de78dbb7cb72efd9f286b2ea5f6697dce55ccb520aaf2397a7fbeb2386de5

Aliases

arxiv: 2008.00061 · arxiv_version: 2008.00061v3 · doi: 10.48550/arxiv.2008.00061 · pith_short_12: TR66PDN3PS3S · pith_short_16: TR66PDN3PS3S57M7 · pith_short_8: TR66PDN3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TR66PDN3PS3S57M7FBVS5JPWNF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9c7de78dbb7cb72efd9f286b2ea5f6697dce55ccb520aaf2397a7fbeb2386de5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "99d6c9cf6fc3ac4fc21d61892dfecf80a2f703d06ccb48f988938a2494798d8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-07-31T20:04:59Z",
    "title_canon_sha256": "59d93f096cd17e72f4ec5d6926a694173ffa1fa27dd7c2866561d35f02d3ce90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.00061",
    "kind": "arxiv",
    "version": 3
  }
}